1. What is the formula for finding the surface area of a rectangular pyramid?
The formula is: Surface Area = base area + (1/2) * perimeter of base * slant height
2. How do you find the base area of a rectangular pyramid?
To find the base area of a rectangular pyramid, you multiply the length and width of the base together.
3. How do you find the slant height of a rectangular pyramid?
You can find the slant height of a rectangular pyramid by using the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height of the pyramid, the length from the apex of the pyramid to the center of the base, and half the length of the base.
4. Calculate the surface area of a rectangular pyramid with a base length of 6 cm, base width of 4 cm, height of 8 cm, and slant height of 10 cm.
First, find the base area:
Base Area = 6 cm * 4 cm = 24 cm^2
Next, find the perimeter of the base:
Perimeter = 2 * (6 cm + 4 cm) = 20 cm
Then, calculate the surface area:
Surface Area = 24 cm^2 + (1/2) * 20 cm * 10 cm
Surface Area = 24 cm^2 + 100 cm^2
Surface Area = 124 cm^2
The surface area of the rectangular pyramid is 124 cm^2.
Surface Area of Rectangular Pyramids Quick Check
1 answer